Find the integral of (sinxcos^2x) dx

To find the Integral of (sinxcos^2x) dx, we must first use our knowledge of integration and differentiation of simple trigonometric functions. Such as Sinx and Cosx. Combined with our knowledge of integrating functions of functions such (1+x)^2 or (sinx)^2. By working backwards and thinking about what we would have to differentiate to get close to sinxcos^2x. We can determine that cos^3x would give us -3sinxcos^2x. Thus the integral of (sinxcos^2x) dx is -1/3cos^3x.

ZS
Answered by Zachary S. Maths tutor

14836 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

solve dy/dx = y(sec x)^2


The function f(x)=x^2 -2x -24x^(1/2) has one stationary point. Find the value of x when f(x) is stationary, and hence determine the nature of this stationary point.


y =(4x)/(x^2+5) (a) Find dy/dx, writing your answer as a single fraction in its simplest form. (b) Hence find the set of values of x for which dy/dx<0


Given two functions x = at^3 and y = 4a, find dy/dx


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning